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Finding the Fourth Proportional to 25,956.96, 38,947.74 and 13,470.34

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Solution

The fourth proportional to 25,956.96, 38,947.74 and 13,470.34 is: 20,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,956.96 : 38,947.74 = 13,470.34 : x
  2. Step 2: Convert to fraction form
    25,956.96/38,947.74 = 13,470.34/x
  3. Step 3: Cross multiply
    25,956.96x = 38,947.74 × 13,470.34
  4. Step 4: Simplify right side
    25,956.96x = 524,639,300.03
  5. Step 5: Solve for x
    x = 524,639,300.03/25,956.96
  6. Step 6: Final answer
    x = 20,211.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.